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If P is a 3xx3 matrix such that P^(T) = ...

If P is a `3xx3` matrix such that `P^(T) = 2 P + I `, where `P^(T)` is
the transpose of `P and I` is the `3xx3` identity matrix, then
there exists a column matrix `X= [[x],[y],[z]]ne[[0],[0],[0]]` such that

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